The Diffuse Coefficient of Relativistic Particles in an Intracluster Medium of the Coma Cluster of Galaxies

In the presence of synchrotron losses, diffusion of an ensemble of relativistic particles in an intracluster medium is investigated. The diffusion coefficient in the medium is found to be constrained by 28.8+-0.4 <= log D <= 30.5+-0.4 cm2/s with the energy dependency of Do epsilon^u of mu = 0.4+-0.2 as the previous observations suggested. As an important implication of the result, the brightest head-tail radio source NGC 4869, whose radio tail structure is indicative for its orbit within the cluster core, is considered to be the major contributor of particles for the formation of the Coma radio halo.